Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112r |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1141899264 = 220 · 32 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1409,-20769] |
[a1,a2,a3,a4,a6] |
Generators |
[555:13056:1] |
Generators of the group modulo torsion |
j |
1180932193/4356 |
j-invariant |
L |
3.0643337311967 |
L(r)(E,1)/r! |
Ω |
0.77936781222215 |
Real period |
R |
3.9318197173932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2112u2 66b2 6336o2 52800bj2 |
Quadratic twists by: -4 8 -3 5 |